Category : BASIC Source Code
Archive   : UBAS830.ZIP
Filename : MAILLET3.UB

 
Output of file : MAILLET3.UB contained in archive : UBAS830.ZIP

˜MAILLET3
D˜Carlitz's version of Maillet's determinant
˜cf. Rev Numb Th LeVEQUE, C20-18 by Carlitz & Olson
µ(˜sample of calculation of integer determinants
Ó2˜by using multi-modulo
<˜better upper bound will make it faster
F˜
,P€­À™"Maillet's determinant"
7ZŸÞñ
sd¤„PPñ2)„DPñ2)À˜primes for modulus and DET mod p
Žn§"prime (P>5)"ÁƒPÀ™
¸xƒPրуP)Ž™"not a prime."À‡ñn
Á‚¨€š
ÞŒƒNÑ(ƒPÞñ)èñÞñ
–¤‚AƒNÞñƒNÞñ)„WƒNÞñƒNÞñ)
$ ˆõCARLITZXò
+ª™
I´™"Maillet's determinant"
k¾™"=relative class number of"
È™ƒPÁ"th cyclotomic field is"
Ò™€À…D)
¨Ü™À™€š
¸æª„W‚A
¿ð¿
Èú˜
ÙõCARLITZ
â˜
ö˜make matrix
ÿ"˜
,‰RÑðŠƒNÞñ
+6‰SÑðŠƒNÞñ
u@‚ARS)Ñ(RÝñ)å(SÝñ)èƒPÞ(RÝñ)å(SÝñ)èƒP
’J™€ìñ)‚ARS)Á
›TŒÀ™
¤^ŒÀ™
­h˜
År˜get upper bound
Î|˜
ꆅUboundѳõHadamardò
ó˜
š˜decide primes to use
¤˜
K®ƒPPрÞñïñ)À…MуPPÀ„PPð)уPPÀPRÑð
e¸…MÔñå…Ubound
›ÂƒPPрރPP)À…MхMåƒPPÀ PRÀ„PPPR)уPP
¤Ì‘
ØÖ™"Use"ÁPRÝñÁPRŽ™"primes:"™"prime:"
áà˜
ê˜calculate determinant for each prime
ô˜
)þ‰IÑðŠPR
f¢„WðÃNÞñÂðÃNÞñ)Ñ¢‚AðÃNÞñÂðÃNÞñ)
‹ƒPPфPPI)À™"DET mod"ÁƒPPÁ
¥ƒDPѳõDETP;ò(ƒPP)
Ä&„DPI)уDPÀ™"is"ÁƒDP
Ë0Œ
Ô:˜
õD˜decide exact determinant
þN˜
XˆõChineserò
5b…D҅UboundŽ…DхDޅM
<l•
Ev˜
ˆ€õDETP(ƒP)À˜ assume every elements >=0 and §ŠºIJKƒDPƒA
DPÑñÀ˜ determinant mod p
ž‰JÑðŠƒNÞñ
G¨‰IсJŠƒNÞñÀ˜ search non_zero
f² „WIJ)Ž”‰À‡ñÐ
m¼Œ
Æ”‰ÀƒDPÑðÀ‡ñH
™ÐIցJŽ´ƒDP
ÑÚÀ¥¢„WIJÃNÞñ)„WJJÃNÞñ)
êäƒAфWJJ)
îƒDPуDPåƒAçƒP
%øƒInvрۄWJJ)ƒP)
B‰IсJÝñŠƒNÞñ
[  ƒCфWIJ)
} ƒCŽƒCуCåƒInvçƒP
Ö  À‰KсJÝñŠƒNÞñÀ„WIK)Ñ(„WIK)ރCå„WJK))çƒPÀŒ
Ý*Œ
ä4Œ
 >ƒDPуDPå„WƒNÞñƒNÞñ)çƒP
 H•(ƒDP)
% R˜
7 \õHadamard
T fºIJ…UboundÑñ
j p‰IÑðŠƒNÞñ
v z…WÑð
Œ „‰JÑðŠƒNÞñ
® Ž
…WхW݂AIJ)ïñ
µ ˜Œ
Ñ ¢…UboundхUboundå…W
Ø ¬Œ
ì ¶•(€Æ…Ubound))
õ À˜

ÊõChinese

ÔºI
.
Þ…MDфPPð)À…DфDPð)
B
艁IÑñŠPR
e
òƒPPфPPI)ÀƒD1фDPI)

ü…WрۅMDƒPP)å…MD
•
…MDхMDåƒPP
À
…DÑ(ƒD1å…W݅Då(ñޅW))ç…MD
Ç
Œ
Î
$•


  3 Responses to “Category : BASIC Source Code
Archive   : UBAS830.ZIP
Filename : MAILLET3.UB

  1. Very nice! Thank you for this wonderful archive. I wonder why I found it only now. Long live the BBS file archives!

  2. This is so awesome! 😀 I’d be cool if you could download an entire archive of this at once, though.

  3. But one thing that puzzles me is the “mtswslnkmcjklsdlsbdmMICROSOFT” string. There is an article about it here. It is definitely worth a read: http://www.os2museum.com/wp/mtswslnk/